Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 574, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 574 evenly are known as factors of 574.
A factor of 574 is a number that divides the number without remainder.
The factors of 574 are 1, 2, 287, and 574.
Negative factors of 574: -1, -2, -287, and -574.
Prime factors of 574: 2 and 287.
Prime factorization of 574: 2 × 287.
The sum of factors of 574: 1 + 2 + 287 + 574 = 864
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 574. Identifying the numbers which are multiplied to get the number 574 is the multiplication method.
Step 1: Multiply 574 by 1, 574 × 1 = 574.
Step 2: Check for other numbers that give 574 after multiplying 2 × 287 = 574
Therefore, the positive factor pairs of 574 are: (1, 574), (2, 287). All these factor pairs result in 574. For every positive factor, there is a negative factor.
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 574 by 1, 574 ÷ 1 = 574.
Step 2: Continue dividing 574 by the numbers until the remainder becomes 0.
574 ÷ 1 = 574
574 ÷ 2 = 287
Therefore, the factors of 574 are: 1, 2, 287, 574.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 574 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
574 ÷ 2 = 287
287 ÷ 287 = 1
The prime factors of 574 are 2 and 287.
The prime factorization of 574 is: 2 × 287.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 574 is divided by 2 to get 287.
Step 2: Here, 287 is a prime number, so it cannot be divided anymore. So, the prime factorization of 574 is: 2 × 287.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 574: (1, 574), (2, 287).
Negative factor pairs of 574: (-1, -574), (-2, -287).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 574 pages in a book and 2 people want to read it equally. How many pages will each person read?
Each person will read 287 pages.
To divide the pages equally, we need to divide the total pages with the number of people.
574/2 = 287
A rectangular garden has a length of 287 meters and the total area is 574 square meters. Find the width.
2 meters.
To find the width of the garden, we use the formula,
Area = length × width
574 = 287 × width
To find the value of width, we need to shift 287 to the left side.
574/287 = width
Width = 2.
There are 574 chairs and 287 rows. How many chairs will be in each row?
Each row will have 2 chairs.
To find the chairs in each row, divide the total chairs with the rows.
574/287 = 2
A company has 574 employees working in 2 shifts. How many employees are there in each shift?
There are 287 employees in each shift.
Dividing the employees with the total shifts, we will get the number of employees in each shift.
574/2 = 287
574 apples need to be packed in 2 boxes. How many apples will go in each box?
Each of the boxes has 287 apples.
Divide total apples with boxes.
574/2 = 287
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.